Fawang Liu mainly investigates Mathematical analysis, Fractional calculus, Numerical analysis, Diffusion equation and Numerical stability. He performs multidisciplinary study in Mathematical analysis and Stability in his work. Fawang Liu has included themes like Time derivative, Dirichlet boundary condition, Finite element method, Space and Convection–diffusion equation in his Fractional calculus study.
His work in Space covers topics such as Domain which are related to areas like Representation. His Diffusion equation research integrates issues from Discretization and Matrix. Fawang Liu has researched Finite difference method in several fields, including Rate of convergence, Fractional Laplacian, Finite difference and Fokker–Planck equation.
His main research concerns Mathematical analysis, Fractional calculus, Numerical analysis, Applied mathematics and Stability. In most of his Mathematical analysis studies, his work intersects topics such as Diffusion equation. The concepts of his Fractional calculus study are interwoven with issues in Anomalous diffusion, Time derivative, Finite element method, Discretization and Domain.
Fawang Liu usually deals with Numerical analysis and limits it to topics linked to Nonlinear system and Ordinary differential equation. His work in Applied mathematics addresses issues such as Finite volume method, which are connected to fields such as Control volume and Finite volume method for one-dimensional steady state diffusion. He focuses mostly in the field of Finite difference method, narrowing it down to matters related to Mechanics and, in some cases, Porous medium.
His primary areas of study are Applied mathematics, Stability, Fractional calculus, Space and Numerical analysis. His research integrates issues of Spectral method, Diffusion equation, Nonlinear system, Discretization and Finite difference method in his study of Applied mathematics. His Fractional calculus research is within the category of Mathematical analysis.
His research on Mathematical analysis frequently connects to adjacent areas such as Unstructured mesh. His Space research incorporates themes from Scheme, Partial differential equation, Alternating direction implicit method, Spacetime and Variable. The Numerical analysis study combines topics in areas such as Time derivative and Riesz space.
Fawang Liu mostly deals with Stability, Applied mathematics, Fractional calculus, Space and Numerical analysis. His Fractional calculus study deals with Discretization intersecting with Anomalous diffusion, Alternating direction implicit method, Galerkin method, Nonlinear system and Rate of convergence. His research in Space intersects with topics in Strongly connected component, Partial differential equation and Transport phenomena.
His work carried out in the field of Numerical analysis brings together such families of science as Field, Finite difference method and Wave equation. Scheme is a subfield of Mathematical analysis that he investigates. Fawang Liu is interested in Exact solutions in general relativity, which is a field of Mathematical analysis.
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Numerical solution of the space fractional Fokker-Planck equation
F. Liu;V. Anh;I. Turner.
Journal of Computational and Applied Mathematics (2004)
Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation
Fawang Liu;Fawang Liu;Pinghui Zhuang;Vo Anh;Ian Turner.
Applied Mathematics and Computation (2007)
Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
Qianqian Yang;Fawang Liu;Ian Turner.
Applied Mathematical Modelling (2010)
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
P. Zhuang;F. Liu;V. Anh;I. Turner.
SIAM Journal on Numerical Analysis (2009)
New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
P. Zhuang;F. Liu;V. Anh;I. Turner.
SIAM Journal on Numerical Analysis (2008)
A Fourier method for the fractional diffusion equation describing sub-diffusion
Chang-Ming Chen;F. Liu;I. Turner;V. Anh.
Journal of Computational Physics (2007)
Time fractional advection-dispersion equation
Fawang Liu;Vo Anh;Ian Turner;Pinghui Zhuang.
Journal of Applied Mathematics and Computing (2003)
Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
R. Lin;F. Liu;V. Anh;I. Turner.
Applied Mathematics and Computation (2009)
Numerical methods for solving the multi-term time-fractional wave-diffusion equation
Fawang Liu;Mark M. Meerschaert;Robert J. McGough;Pinghui Zhuang.
Fractional Calculus and Applied Analysis (2013)
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
Fanhai Zeng;Changpin Li;Fawang Liu;Ian W. Turner.
SIAM Journal on Scientific Computing (2013)
Profile was last updated on December 6th, 2021.
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